Interpolation and Extrapolation part 4

... attention on one particular interval, between x j and x j+1 . Linear interpolation in that interval gives the interpolation formula y = Ay j + By j+1 (3.3.1) 1 14 Chapter 3. Interpolation and Extrapolation Sample ... Mathematical Computations (Englewood Cliffs, NJ: Prentice-Hall), §§ 4. 4 4. 5. Stoer, J., and Bulirsch, R. 1980, Introduction to Numerical Analysis (New York: Spr...

Ngày tải lên: 20/10/2013, 17:15

... 3.2 Rational Function Interpolation and Extrapolation 111 Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by ... http://www.nr.com or call 1-800-872- 742 3 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 3.2 Rational Function Interpolation and Extrapolation Some functions ar...

Ngày tải lên: 17/10/2013, 22:15

... 1-800-872- 742 3 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). 3 .4 How to Search an Ordered Table Suppose that you have decided to use some particular interpolation ... see in Chapter 16, call 118 Chapter 3. Interpolation and Extrapolation Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (...

Ngày tải lên: 20/10/2013, 17:15

... 120 Chapter 3. Interpolation and Extrapolation Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright (C) 1988-1992 by Cambridge ... coefficients can be accurately and stably determined even in the presence of statistical errors in the tabulated values. (See § 14. 8.) Interpolation, where the number of coefficients and number of tabu...

Ngày tải lên: 24/10/2013, 15:15

... 1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0, -3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0, 2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0, 0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0, 0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1, 0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1, -3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0, 9,-9,9,-9,6,3,-3,-6,6,-6,-3,3 ,4, 2,1,2, -6,6,-6,6,...

Ngày tải lên: 07/11/2013, 19:15

... function f(x)=3x 2 + 1 π 4 ln  (π − x) 2  +1 (3.0.1) 105 106 Chapter 3. Interpolation and Extrapolation Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521 -43 108-5) Copyright ... through (and perhaps beyond) the x i . If the desired x is in between the largest and smallest of the x i ’s, the problem is called interpolation; ifxis outside that r...

Ngày tải lên: 21/01/2014, 18:20

... single “descendant” at the extreme right. For example, with N =4, x 1 : y 1 =P 1 P 12 x 2 : y 2 = P 2 P 123 P 23 P 12 34 x 3 : y 3 = P 3 P 2 34 P 34 x 4 : y 4 = P 4 (3.1.2) Neville’s algorithm is a recursive way ... with the dummy arguments xa and ya replaced by actual arrays with offsets. For example, the construction polint(&xx[ 14] ,&yy[ 14] ,4, x,y,dy) performs 4- po...

Ngày tải lên: 26/01/2014, 15:20

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Ngày tải lên: 14/12/2013, 13:15

Ngày tải lên: 14/12/2013, 15:15